Descriptions

First the theory of electron-phonon contributions to the de Haas-van Alphen effect in normal systems (pure metals in the nonsuperconducting state ) is reviewed.Then a new derivation of the de Haas-van Alphen oscillations for an interacting system is given.The result is applied to electron-phonon scattering to show that contrary to what might be expected,the Dingle temperature does not include electron- phonon scattering effects and,under reasonable approximations, indeed one again recovers the quasi-partcle formula for the amplitude in the interacting system;however,with the electron-phonon enhanced mass replacing the bare electron (free or band) mass.Also a calculation of the electron-phonon scattering in dilute non-magnetic alloys is presented in which an uncorrelated ensemble average of phonon Green's functions for the disordered system is used. It is found that for the extended'high temperature limit' derived above the various contributions to the normal electron self-energy (relevant to the dHvA effect) still have a linear temperature dependence.However,the electron-phonon mass enhancement factor λ now depends on two more parameters besides the effective mass of the electrons in the host.